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<div class="header">
  <div class="headertitle"><div class="title">laguerre.hpp</div></div>
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<div class="contents">
<a href="laguerre_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span> </div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="preprocessor">#pragma once</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="preprocessor">#if defined(__cpp_lib_math_special_functions) || !defined(NUMCPP_NO_USE_BOOST)</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span> </div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span><span class="preprocessor">#include &quot;<a class="code" href="_static_asserts_8hpp.html">NumCpp/Core/Internal/StaticAsserts.hpp</a>&quot;</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="preprocessor">#include &quot;<a class="code" href="_stl_algorithms_8hpp.html">NumCpp/Core/Internal/StlAlgorithms.hpp</a>&quot;</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span><span class="preprocessor">#include &quot;<a class="code" href="_nd_array_8hpp.html">NumCpp/NdArray.hpp</a>&quot;</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span><span class="preprocessor">#ifndef __cpp_lib_math_special_functions</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span><span class="preprocessor">#include &quot;boost/math/special_functions/laguerre.hpp&quot;</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacenc_1_1polynomial.html">nc::polynomial</a></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>{</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span>    <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>    <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span><span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="namespacenc_1_1polynomial.html#aa2c08952d8dfd2cccfbcd6da40b49f4f">   55</a></span>    <span class="keywordtype">double</span> <a class="code hl_function" href="namespacenc_1_1polynomial.html#aa2c08952d8dfd2cccfbcd6da40b49f4f">laguerre</a>(<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> n, dtype x)</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>    {</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>        <a class="code hl_define" href="_static_asserts_8hpp.html#a36abb32368b91aed0d3133a4cfd5ae92">STATIC_ASSERT_ARITHMETIC</a>(dtype);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span><span class="preprocessor">#ifdef __cpp_lib_math_special_functions</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>        <span class="keywordflow">return</span> <a class="code hl_function" href="namespacenc_1_1polynomial.html#a1632161584f56e87ee9be46a43bdaadf">std::laguerre</a>(n, <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(x));</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span><span class="preprocessor">#else</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>        <span class="keywordflow">return</span> <a class="code hl_function" href="namespacenc_1_1polynomial.html#a1632161584f56e87ee9be46a43bdaadf">boost::math::laguerre</a>(n, <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(x));</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>    }</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>    <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>    <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span><span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"><a class="line" href="namespacenc_1_1polynomial.html#ad7fef1e52b0054b5894995ee1ed94340">   78</a></span>    <span class="keywordtype">double</span> <a class="code hl_function" href="namespacenc_1_1polynomial.html#aa2c08952d8dfd2cccfbcd6da40b49f4f">laguerre</a>(<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> n, <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> m, dtype x)</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>    {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>        <a class="code hl_define" href="_static_asserts_8hpp.html#a36abb32368b91aed0d3133a4cfd5ae92">STATIC_ASSERT_ARITHMETIC</a>(dtype);</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span> </div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span><span class="preprocessor">#ifdef __cpp_lib_math_special_functions</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>        <span class="keywordflow">return</span> std::assoc_laguerre(m, n, <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(x));</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span><span class="preprocessor">#else</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>        <span class="keywordflow">return</span> <a class="code hl_function" href="namespacenc_1_1polynomial.html#a1632161584f56e87ee9be46a43bdaadf">boost::math::laguerre</a>(m, n, <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(x));</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span>    }</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span> </div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span>    <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span>    <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span><span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"><a class="line" href="namespacenc_1_1polynomial.html#a0b1fe04e7cc91218dfea6fb27e819f23">  100</a></span>    <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> <a class="code hl_function" href="namespacenc_1_1polynomial.html#aa2c08952d8dfd2cccfbcd6da40b49f4f">laguerre</a>(<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> n, <span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; inArrayX)</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>    {</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>        <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> returnArray(inArrayX.<a class="code hl_function" href="classnc_1_1_nd_array.html#a4824e91b22bb46ebc31c9c08de55ef13">shape</a>());</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span> </div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>        <span class="keyword">const</span> <span class="keyword">auto</span> function = [n](dtype x) -&gt; <span class="keywordtype">double</span> { <span class="keywordflow">return</span> <a class="code hl_function" href="namespacenc_1_1polynomial.html#aa2c08952d8dfd2cccfbcd6da40b49f4f">laguerre</a>(n, x); };</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span> </div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>        <a class="code hl_function" href="namespacenc_1_1stl__algorithms.html#a616d5dabd547326285946d0014361ab4">stl_algorithms::transform</a>(inArrayX.<a class="code hl_function" href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">cbegin</a>(), inArrayX.<a class="code hl_function" href="classnc_1_1_nd_array.html#aa16bc96e4bbafbc8a06743f3e4a10a6a">cend</a>(), returnArray.<a class="code hl_function" href="classnc_1_1_nd_array.html#ab57282e02905eeb2a932eeb73983221f">begin</a>(), function);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>        <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>    }</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span> </div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>    <span class="comment">//============================================================================</span></div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>    <span class="comment">// Method Description:</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span><span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"><a class="line" href="namespacenc_1_1polynomial.html#a1632161584f56e87ee9be46a43bdaadf">  123</a></span>    <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> <a class="code hl_function" href="namespacenc_1_1polynomial.html#aa2c08952d8dfd2cccfbcd6da40b49f4f">laguerre</a>(<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> n, <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> m, <span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; inArrayX)</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>    {</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>        <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> returnArray(inArrayX.<a class="code hl_function" href="classnc_1_1_nd_array.html#a4824e91b22bb46ebc31c9c08de55ef13">shape</a>());</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span> </div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>        <span class="keyword">const</span> <span class="keyword">auto</span> function = [n, m](dtype x) -&gt; <span class="keywordtype">double</span> { <span class="keywordflow">return</span> <a class="code hl_function" href="namespacenc_1_1polynomial.html#aa2c08952d8dfd2cccfbcd6da40b49f4f">laguerre</a>(n, m, x); };</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span> </div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>        <a class="code hl_function" href="namespacenc_1_1stl__algorithms.html#a616d5dabd547326285946d0014361ab4">stl_algorithms::transform</a>(inArrayX.<a class="code hl_function" href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">cbegin</a>(), inArrayX.<a class="code hl_function" href="classnc_1_1_nd_array.html#aa16bc96e4bbafbc8a06743f3e4a10a6a">cend</a>(), returnArray.<a class="code hl_function" href="classnc_1_1_nd_array.html#ab57282e02905eeb2a932eeb73983221f">begin</a>(), function);</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span> </div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>        <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>    }</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>} <span class="comment">// namespace nc::polynomial</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span> </div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span><span class="preprocessor">#endif </span><span class="comment">// #if defined(__cpp_lib_math_special_functions) || !defined(NUMCPP_NO_USE_BOOST)</span></div>
<div class="ttc" id="a_nd_array_8hpp_html"><div class="ttname"><a href="_nd_array_8hpp.html">NdArray.hpp</a></div></div>
<div class="ttc" id="a_static_asserts_8hpp_html"><div class="ttname"><a href="_static_asserts_8hpp.html">StaticAsserts.hpp</a></div></div>
<div class="ttc" id="a_static_asserts_8hpp_html_a36abb32368b91aed0d3133a4cfd5ae92"><div class="ttname"><a href="_static_asserts_8hpp.html#a36abb32368b91aed0d3133a4cfd5ae92">STATIC_ASSERT_ARITHMETIC</a></div><div class="ttdeci">#define STATIC_ASSERT_ARITHMETIC(dtype)</div><div class="ttdef"><b>Definition:</b> StaticAsserts.hpp:39</div></div>
<div class="ttc" id="a_stl_algorithms_8hpp_html"><div class="ttname"><a href="_stl_algorithms_8hpp.html">StlAlgorithms.hpp</a></div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html"><div class="ttname"><a href="classnc_1_1_nd_array.html">nc::NdArray&lt; double &gt;</a></div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a0bee49339bdc4d7edbeb5efa73133cc3"><div class="ttname"><a href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">nc::NdArray::cbegin</a></div><div class="ttdeci">const_iterator cbegin() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:1365</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a4824e91b22bb46ebc31c9c08de55ef13"><div class="ttname"><a href="classnc_1_1_nd_array.html#a4824e91b22bb46ebc31c9c08de55ef13">nc::NdArray::shape</a></div><div class="ttdeci">const Shape &amp; shape() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:4511</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_aa16bc96e4bbafbc8a06743f3e4a10a6a"><div class="ttname"><a href="classnc_1_1_nd_array.html#aa16bc96e4bbafbc8a06743f3e4a10a6a">nc::NdArray::cend</a></div><div class="ttdeci">const_iterator cend() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:1673</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_ab57282e02905eeb2a932eeb73983221f"><div class="ttname"><a href="classnc_1_1_nd_array.html#ab57282e02905eeb2a932eeb73983221f">nc::NdArray::begin</a></div><div class="ttdeci">iterator begin() noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:1315</div></div>
<div class="ttc" id="anamespacenc_1_1polynomial_html"><div class="ttname"><a href="namespacenc_1_1polynomial.html">nc::polynomial</a></div><div class="ttdef"><b>Definition:</b> chebyshev_t.hpp:39</div></div>
<div class="ttc" id="anamespacenc_1_1polynomial_html_a1632161584f56e87ee9be46a43bdaadf"><div class="ttname"><a href="namespacenc_1_1polynomial.html#a1632161584f56e87ee9be46a43bdaadf">nc::polynomial::laguerre</a></div><div class="ttdeci">NdArray&lt; double &gt; laguerre(uint32 n, uint32 m, const NdArray&lt; dtype &gt; &amp;inArrayX)</div><div class="ttdef"><b>Definition:</b> laguerre.hpp:123</div></div>
<div class="ttc" id="anamespacenc_1_1polynomial_html_aa2c08952d8dfd2cccfbcd6da40b49f4f"><div class="ttname"><a href="namespacenc_1_1polynomial.html#aa2c08952d8dfd2cccfbcd6da40b49f4f">nc::polynomial::laguerre</a></div><div class="ttdeci">double laguerre(uint32 n, dtype x)</div><div class="ttdef"><b>Definition:</b> laguerre.hpp:55</div></div>
<div class="ttc" id="anamespacenc_1_1stl__algorithms_html_a616d5dabd547326285946d0014361ab4"><div class="ttname"><a href="namespacenc_1_1stl__algorithms.html#a616d5dabd547326285946d0014361ab4">nc::stl_algorithms::transform</a></div><div class="ttdeci">OutputIt transform(InputIt first, InputIt last, OutputIt destination, UnaryOperation unaryFunction)</div><div class="ttdef"><b>Definition:</b> StlAlgorithms.hpp:775</div></div>
<div class="ttc" id="anamespacenc_html_af0f49663fb63332596e2e6327009d581"><div class="ttname"><a href="namespacenc.html#af0f49663fb63332596e2e6327009d581">nc::uint32</a></div><div class="ttdeci">std::uint32_t uint32</div><div class="ttdef"><b>Definition:</b> Types.hpp:40</div></div>
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